102003000021 has 48 divisors (see below), whose sum is σ = 159564402816. Its totient is φ = 62418480768.

The previous prime is 102002999963. The next prime is 102003000037. The reversal of 102003000021 is 120000300201.

It is a happy number.

It is not a de Polignac number, because 102003000021 - 2⁷ = 102002999893 is a prime.

It is a super-2 number, since 2×102003000021² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 102002999967 and 102003000012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102003000061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28230411 + ... + 28234023.

It is an arithmetic number, because the mean of its divisors is an integer number (3324258392).

Almost surely, 2^102003000021 is an apocalyptic number.

It is an amenable number.

102003000021 is a deficient number, since it is larger than the sum of its proper divisors (57561402795).

102003000021 is a wasteful number, since it uses less digits than its factorization.

102003000021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4922 (or 4919 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 102003000021 its reverse (120000300201), we get a palindrome (222003300222).

The spelling of 102003000021 in words is "one hundred two billion, three million, twenty-one", and thus it is an aban number.